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Finding the Fourth Proportional to 2,457.94, 3,390.68 and 1,524.82

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Solution

The fourth proportional to 2,457.94, 3,390.68 and 1,524.82 is: 2,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.94 : 3,390.68 = 1,524.82 : x
  2. Step 2: Convert to fraction form
    2,457.94/3,390.68 = 1,524.82/x
  3. Step 3: Cross multiply
    2,457.94x = 3,390.68 × 1,524.82
  4. Step 4: Simplify right side
    2,457.94x = 5,170,176.68
  5. Step 5: Solve for x
    x = 5,170,176.68/2,457.94
  6. Step 6: Final answer
    x = 2,103.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.